{
 "cells": [
  {
   "cell_type": "markdown",
   "source": [
    "Chapter 06\n",
    "# 头重脚轻的硬币\n",
    "Book_1《编程不难》 | 鸢尾花书：从加减乘除到机器学习"
   ],
   "metadata": {
    "collapsed": false
   }
  },
  {
   "cell_type": "code",
   "execution_count": 1,
   "outputs": [],
   "source": [
    "import random\n",
    "import statistics\n",
    "import matplotlib.pyplot as plt"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-02T22:03:19.508510Z",
     "end_time": "2024-07-02T22:03:19.978653Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "outputs": [],
   "source": [
    "# 抛硬币实验的次数\n",
    "num_flips = 1000\n",
    "\n",
    "# 模拟抛硬币实验，硬币头重脚轻\n",
    "# 用于存储每次抛硬币的结果\n",
    "results = [random.choices([0, 1], [0.4, 0.6])[0]\n",
    "           for _ in range(num_flips)]\n",
    "# 用于存储每次抛硬币后的均值\n",
    "running_means = [statistics.mean(results[0:idx + 1])\n",
    "                 for idx in range(num_flips)]"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-02T22:03:30.242298Z",
     "end_time": "2024-07-02T22:03:30.371253Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 3,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化前100次结果均值随次数变化\n",
    "visual_num = 100\n",
    "plt.scatter(range(1, visual_num + 1), results[0:visual_num],\n",
    "            c=results[0:visual_num], marker=\"o\", cmap='cool')\n",
    "plt.plot(range(1, visual_num + 1), results[0:visual_num])\n",
    "plt.xlabel(\"Number of coin flips\")\n",
    "plt.ylabel(\"Result\")\n",
    "plt.grid(True)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-02T22:03:50.071754Z",
     "end_time": "2024-07-02T22:03:50.212616Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "outputs": [
    {
     "data": {
      "text/plain": "<Figure size 640x480 with 1 Axes>",
      "image/png": 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"
     },
     "metadata": {},
     "output_type": "display_data"
    }
   ],
   "source": [
    "# 可视化均值随次数变化\n",
    "plt.plot(range(1, num_flips + 1), running_means)\n",
    "plt.axhline(0.6, color='r')\n",
    "plt.xlabel(\"Number of coin flips\")\n",
    "plt.ylabel(\"Running Mean\")\n",
    "plt.grid(True)\n",
    "plt.ylim(0, 1)\n",
    "plt.show()"
   ],
   "metadata": {
    "collapsed": false,
    "ExecuteTime": {
     "start_time": "2024-07-02T22:04:16.139296Z",
     "end_time": "2024-07-02T22:04:16.233401Z"
    }
   }
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "outputs": [],
   "source": [],
   "metadata": {
    "collapsed": false
   }
  }
 ],
 "metadata": {
  "kernelspec": {
   "display_name": "Python 3",
   "language": "python",
   "name": "python3"
  },
  "language_info": {
   "codemirror_mode": {
    "name": "ipython",
    "version": 2
   },
   "file_extension": ".py",
   "mimetype": "text/x-python",
   "name": "python",
   "nbconvert_exporter": "python",
   "pygments_lexer": "ipython2",
   "version": "2.7.6"
  }
 },
 "nbformat": 4,
 "nbformat_minor": 0
}
